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SHORT ANSWER. Write the word or phease that best comgletes ear Use the siven inf

ID: 2913119 • Letter: S

Question

SHORT ANSWER. Write the word or phease that best comgletes ear Use the siven information to find the wsact value of the osgression. 13)cos e,-??, lies in quadrant Iv tind sin 20. stement or answes he qoevtion MULTIPLE CHOICE. Choose the une alternative thet best completes the Use a half-angle farmula to find the exact value of the expressi 14) cos2 15) - Use the given information to find the exact value of the trigonometric 1:5) sine÷ elies in quadrant I Find sin A) B) Express the product as a sum or difference. A) 2(cus 9x- cos 3x) C) sin (cos 18x2) 16) sin 6x cos 3x B) (sin 9x + cos 3x) (sin 9x + sin 3x) ORT ANSWER. Write the word or phrase that best completes each statement or answe d all solutions of the equation. 17) 2 cosx+3-

Explanation / Answer

13) cos theta = 15/17

base = 15

hypotenuse = 17

perpendicular = sqrt ( 17^2 - 15^2 ) = 8

sin theta = - 8 / 17

hence, sin 2 theta = 2 sin theta cos theta

= 2 ( -8/17 ) ( 15/17 )

sin 2 theta = - 240 / 289

14) cos 5pi/12

cos 5pi/12 = cos ( pi/6 + pi/4 )

cos (pi/6 ) cos (pi/4) - sin ( pi/6 ) sin (pi/4 )

( sqrt 2/2 ) ( sqrt 3/2 ) - ( sqrt 2/2 ) (1/2)

= ( sqrt 6 - sqrt 2 ) / 4

option c is correct